Conservative nonlinear oscillators in Abel’s mechanical problem
We study a family of conservative, truly nonlinear, oscillators, arising from particular solutions of Abel’s mechanical problem. An exact period-to-amplitude relation is produced for each instance. The lagrangian and hamiltonian formulations of such systems are discussed, along with their relations...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | México |
| Institución: | Universidad Iberoamericana |
| Repositorio: | Redalyc-UIA |
| OAI Identifier: | oai:redalyc.org:57048154011 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57048154011 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas analytical mechanics Nonlinear oscillators Abel’s mechanical problem |
| Sumario: | We study a family of conservative, truly nonlinear, oscillators, arising from particular solutions of Abel’s mechanical problem. An exact period-to-amplitude relation is produced for each instance. The lagrangian and hamiltonian formulations of such systems are discussed, along with their relations with the harmonic oscillator. |
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